Prime p₀= 1274124996992678627 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 84 86
All 10 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 86
Found by: HenkM
db: batch=77, k=10, 2 22 2 16 2

SPT(16)	1274122769393897729	0 18 48 54 78 144 150 164 204 218 224 290 314 320 350 368	-2227598780898
STPT(10)	1274123103494094947	0 2 30 32 60 62 90 92 120 122	-1893498583680
SPT(16)	1274123333975663803	0 4 76 88 100 130 154 238 276 360 384 414 426 438 510 514	-1663017014824
TPT(14)	1274124031176293567	0 2 72 74 174 176 180 182 210 212 264 266 270 272	-965816385060
SPT(18)	1274124370078789961	0 8 20 36 78 92 96 146 228 260 342 392 396 410 452 468 480 488	-626913888666
SPT(16)	1274124391177402763	0 6 74 84 110 176 180 186 224 230 234 300 326 336 404 410	-605815275864
SPT(16)	1274125180153428377	0 26 60 80 84 92 134 146 180 192 234 242 246 266 300 326	183160749750
STPT(10)	1274125374216067517	0 2 42 44 72 74 102 104 144 146	377223388890
SPT(16)	1274125431054057817	0 6 60 82 100 124 126 130 156 160 162 186 204 226 280 286	434061379190
STPT(10)	1274125643519828789	0 2 18 20 30 32 42 44 60 62	646527150162
SPT(16)	1274125672767152041	0 16 72 78 82 118 148 160 168 180 210 246 250 256 312 328	675774473414